Mr Trump, wearing a black skullcap, became the first sitting president to visit the Western Wall on Monday.
Women's prayer at the Western Wall has always been the subject of controversy, with Israel's Supreme Court ruling at the beginning of the year that women should be allowed to read from the Torah at the sacred site. But anonymous officials said that by revealing the city in the Islamic State's territory - where a US partner had detected the threat - Russian Federation could deduce secret sources and methods of intelligence gathering, and damage a critical source of intelligence on the terror group.
Under tight security and led by the traditional kawas honor guard announcing the way with the thumping of their ornamental staffs, the president made his way by foot through the Old City's alleyways to the Church of the Holy Sepulcher. Ivanka Trump converted to Judaism to marry Kushner, an orthodox Jew.
Trump, wearing a yarmulke, placed his right hand on the wall and swayed slightly back and forth with his eyes closed for almost a minute. The city is divided into Muslim, Christian, Armenian and Jewish.
The president was greeted by Israeli Prime Minister Benjamin Netanyahu on the tarmac, along with Israeli President Reuven Rivlin. For this reason, USA officials refuse to say that the wall is part of Israel.
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A statement from the Vietnamese chairman of the talks gave a "commitment to promote trade and investment liberalization". The U.S. withdrawal means the deal would be dead under the current rules given the scale of the country's economy.
Israel regards the whole of Jerusalem as its capital, while the Palestinians claim the east as their capital.
Given the competing claims, the USA says the city's fate must be worked out through negotiations and like most countries, it maintains its embassy in Tel Aviv, not Jerusalem. Such a move would break with decades of precedent.
Netanyahu and his wife have a tense relationship with the Israeli media, which they have both described as biased against them. An Israeli TV station quoted an American as telling the Israelis that the wall is not in Israeli territory, enraging Trump's Israeli hosts.
Diana Buttu, a Palestinian lawyer and former adviser to the Palestine Liberation Organisation, says Trump's comments about striving for a negotiated solution between Israel and the Palestinians are not promising.
The White House said the visit was unofficial and private.
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Trump is using the opening leg of his first foreign trip as USA president to encourage the revival of Mideast peace talks. President Donald Trump's first visit to Jerusalem as president is being overshadowed by reminders of tumult back home.
President Donald Trump on Monday became the first sitting United States president to visit the Western Wall, one of the holiest sites in Judaism.
Mrs. Netanyahu: "I talk every place about her, how great she is and how great you are".
Israel was his second stop on a nine-day tour aimed to test the waters for reviving the dormant Israeli-Palestinian peace process. But complicating any deal is the adjacent hilltop site revered by Muslims as the "Noble Sanctuary" and Jews as the "Temple Mount". Since the 7th century C.E.it has been the site of Islam's Dome of the Rock and the Al-Aqsa Mosque.
Israelis celebrate the "reunification" of Jerusalem in 1967 as a national holiday.
He previously told Daily News Egypt that the "deal of the century" would be an illusion, adding that "the two-state solution is no longer applicable, because there are no indicators that Netanyahu will accept such solution; if he would, it would have been implemented a long time ago", he explained. No explanation was given for the dateline.
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Added Oliver Jones, 17: "The bang echoed around the foyer of the arena and people started to run". Officials say children were among the victims of Monday's explosion.
On Tuesday, Trump will meet Palestinian president Mahmud Abbas in Bethlehem in the West Bank, visit the Yad Vashem Holocaust memorial in Jerusalem and give a speech at the Israel Museum.